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Finding the Third Proportional to 284.69 and 512.97

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Solution

The third proportional to 284.69 and 512.97 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 512.97 = 512.97 : x
  2. Step 2: Convert to fraction form
    284.69/512.97 = 512.97/x
  3. Step 3: Cross multiply
    284.69x = 512.97 × 512.97
  4. Step 4: Simplify right side
    284.69x = 263,136.94
  5. Step 5: Solve for x
    x = 263,136.94/284.69
  6. Step 6: Final answer
    x = 924.30

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.